On fibred Sasakian spaces with vanishing contact Bochner curvature tensor

Kazuhiko Takano

Colloquium Mathematicae (1993)

  • Volume: 65, Issue: 2, page 181-200
  • ISSN: 0010-1354

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Takano, Kazuhiko. "On fibred Sasakian spaces with vanishing contact Bochner curvature tensor." Colloquium Mathematicae 65.2 (1993): 181-200. <http://eudml.org/doc/210213>.

@article{Takano1993,
author = {Takano, Kazuhiko},
journal = {Colloquium Mathematicae},
keywords = {constant holomorphic sectional curvature; fibred Sasakian space; contact Bochner tensor},
language = {eng},
number = {2},
pages = {181-200},
title = {On fibred Sasakian spaces with vanishing contact Bochner curvature tensor},
url = {http://eudml.org/doc/210213},
volume = {65},
year = {1993},
}

TY - JOUR
AU - Takano, Kazuhiko
TI - On fibred Sasakian spaces with vanishing contact Bochner curvature tensor
JO - Colloquium Mathematicae
PY - 1993
VL - 65
IS - 2
SP - 181
EP - 200
LA - eng
KW - constant holomorphic sectional curvature; fibred Sasakian space; contact Bochner tensor
UR - http://eudml.org/doc/210213
ER -

References

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  1. [1] M. Ako and K. Yano, On hypersurfaces of an odd-dimensional sphere as fibred spaces, in: Differential Geometry in Honor of K. Yano, Kinokuniya, Tokyo 1972, 1-19. Zbl0255.53015
  2. [2] I. Hasegawa and T. Nakane, On Sasakian manifolds with vanishing contact Bochner curvature tensor, Hokkaido Math. J. 9 (1980), 184-189. Zbl0449.53016
  3. [3] S. Ishihara and M. Konishi, Fibred Riemannian spaces with Sasakian 3-structure, in: Differential Geometry in Honor of K. Yano, Kinokuniya, Tokyo 1972, 179-194. 
  4. [4] B. H. Kim, Fibred Riemannian spaces with contact structure, Hiroshima Math. J. 18 (1988), 493-508. Zbl0696.53024
  5. [5] --, Fibred Sasakian spaces with vanishing contact Bochner curvature tensor, ibid. 19 (1989), 181-195. Zbl0724.53030
  6. [6] M. Matsumoto and G. Chūman, On the C-Bochner curvature tensor, TRU Math. 5 (1969), 21-30. Zbl0206.50705
  7. [7] M. Matsumoto and S. Tanno, Kählerian spaces with parallel or vanishing Bochner curvature tensor, Tensor (N.S.) 27 (1973), 291-294. Zbl0278.53046
  8. [8] B. O'Neill, The fundamental equations of a submersion, Michigan Math. J. 13 (1966), 459-469. 
  9. [9] S. Tachibana, On the Bochner curvature tensor, Natur. Sci. Rep. Ochanomizu Univ. 18 (1967), 15-19. Zbl0161.41202
  10. [10] S. Tachibana and R. C. Liu, Notes on Kählerian metrics with vanishing Bochner curvature tensor, Kodai Math. Sem. Rep. 22 (1970), 313-321. Zbl0199.25303
  11. [11] K. Takano, Certain 1-forms in fibred Sasakian spaces and certain 2-form in fibred Riemannian spaces, SUT J. Math. 26 (1990), 169-200. Zbl0760.53018
  12. [12] Y. Tashiro and B. H. Kim, Almost complex and almost contact structures in fibred Riemannian spaces, Hiroshima Math. J. 18 (1988), 161-188. Zbl0655.53030
  13. [13] K. Yano and M. Kon, Structures on Manifolds, World Sci., 1984. 
  14. [14] I. Yokote, A certain derivative in fibred Riemannian spaces, and its applications to vector fields, Kodai Math. Sem. Rep. 29 (1978), 211-232. Zbl0402.53025

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